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A Contribution to Relationship Between Volumetric Joint Count (Jv) and Rock Quality Designation (RQD) in Three-Dimensional (3-D) Space

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Abbreviations

N :

Number of joint sets

i :

Joint set order number

S mi :

Average true spacing of the i-th joint set

λ mi :

1-D density of the i-th set along the average normal vector of the set

Lx, Ly, Lz :

Three perpendicular scanlines

Nx, Ny, Nz :

Number of joints intersecting the three perpendicular scanlines Lx, Ly, and Lz

S :

Mean joint spacing

N rl :

Random joint number along a scanline of 5 m

A :

Investigated area in m2

N ra :

Random joint number in the investigated location

λx, λy, λz :

1-D densities along the directions of the x, y, and z axes

E(·):

Expected value of the function within “()”

n i :

Unit upper normal vector of join

l :

A direction vector

RQD l :

RQD in the l direction

λ vi :

3-D densities of the joints from set i

V(·):

Variance of the function within “()”

K i :

Fisher constant of the i-th set joint

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Acknowledgements

This study was funded by the National Key R&D Program of China (2018YFC1505005), the National Natural Science Foundation Projects (41972264, 41772322 and 41772287), the Fundamental Research Funds for the Central Universities (017182419), and the Zhejiang Provincial Natural Science Foundation Project (LY18E090002). The authors would also like to thank Professor Harun Sonmez and one other anonymous referee for reviewing the paper and providing some valuable suggestions and comments.

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Authors and Affiliations

  1. Department of Civil Engineering, Zhejiang University, Hangzhou, 310058, China

    Jun Zheng, Xiaohong Wang, Qing Lü & Jichao Guo

  2. State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu, 610065, China

    Jianfeng Liu & Jianhui Deng

  3. Highway and Bridge Engineering Institute, Dalian Maritime University, Dalian, 116026, China

    Tiexin Liu

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  1. Jun Zheng
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Correspondence to Jianfeng Liu.

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Zheng, J., Wang, X., Lü, Q. et al. A Contribution to Relationship Between Volumetric Joint Count (Jv) and Rock Quality Designation (RQD) in Three-Dimensional (3-D) Space. Rock Mech Rock Eng 53, 1485–1494 (2020). https://doi.org/10.1007/s00603-019-01986-3

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